68291200 has 48 divisors (see below), whose sum is σ = 168708510. Its totient is φ = 27315200.

The previous prime is 68291191. The next prime is 68291207. The reversal of 68291200 is 219286.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 66194496 + 2096704 = 8136^2 + 1448^2 .

It is not an unprimeable number, because it can be changed into a prime (68291207) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 7471 + ... + 13870.

Almost surely, 2^68291200 is an apocalyptic number.

It is an amenable number.

68291200 is an abundant number, since it is smaller than the sum of its proper divisors (100417310).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

68291200 is a wasteful number, since it uses less digits than its factorization.

68291200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21365 (or 21348 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 28.

The square root of 68291200 is about 8263.8489821632. The cubic root of 68291200 is about 408.7473167377.

The spelling of 68291200 in words is "sixty-eight million, two hundred ninety-one thousand, two hundred".